Search a number
-
+
52481304 = 23332291061
BaseRepresentation
bin1100100000110…
…0110100011000
310122202022211000
43020030310120
5101413400204
65112505000
71205040501
oct310146430
9118668730
1052481304
1127695a87
12156ab160
13ab46935
146d81ba8
15491a039
hex320cd18

52481304 has 64 divisors (see below), whose sum is σ = 146556000. Its totient is φ = 17400960.

The previous prime is 52481279. The next prime is 52481309. The reversal of 52481304 is 40318425.

52481304 is a `hidden beast` number, since 524 + 8 + 130 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52481309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48934 + ... + 49994.

Almost surely, 252481304 is an apocalyptic number.

52481304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52481304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73278000).

52481304 is an abundant number, since it is smaller than the sum of its proper divisors (94074696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52481304 is a wasteful number, since it uses less digits than its factorization.

52481304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52481304 is about 7244.3981116446. The cubic root of 52481304 is about 374.3991658430.

Adding to 52481304 its reverse (40318425), we get a palindrome (92799729).

The spelling of 52481304 in words is "fifty-two million, four hundred eighty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 458 687 916 1061 1374 1832 2061 2122 2748 3183 4122 4244 5496 6183 6366 8244 8488 9549 12366 12732 16488 19098 24732 25464 28647 38196 49464 57294 76392 114588 229176 242969 485938 728907 971876 1457814 1943752 2186721 2915628 4373442 5831256 6560163 8746884 13120326 17493768 26240652 52481304